Pith Number

pith:57NRQGVM

pith:2015:57NRQGVM2R6EWM6QVC2X6EED2U

not attested not anchored not stored refs pending

Homology of $GL_3$ of function rings of elliptic curves

Matthias Wendt

arxiv:1501.02613 v1 · 2015-01-12 · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57NRQGVM2R6EWM6QVC2X6EED2U}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:29:37.625836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efdb181aacd47c4b33d0a8b57f1083d50b42ee04ef219d10449881c0012cc9be

Aliases

arxiv: 1501.02613 · arxiv_version: 1501.02613v1 · doi: 10.48550/arxiv.1501.02613 · pith_short_12: 57NRQGVM2R6E · pith_short_16: 57NRQGVM2R6EWM6Q · pith_short_8: 57NRQGVM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/57NRQGVM2R6EWM6QVC2X6EED2U \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: efdb181aacd47c4b33d0a8b57f1083d50b42ee04ef219d10449881c0012cc9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3673be9064b2ff066ba450690497e0540decc1b85b4380dcae521fc03ea403d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-01-12T12:01:20Z",
    "title_canon_sha256": "f485d957f7f7751286c954e09584b03a45327e20c428c6b002d88a103d2fd7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02613",
    "kind": "arxiv",
    "version": 1
  }
}